BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 2800 hours. Suppose we have good reason to believe that μ is different from 2800 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2620 hours and that the sample standard deviation of the lifetimes is 650 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0: H1: (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ▼(Choose one) (c) Suppose the true mean lifetime of BIG's light bulbs is 2600 hours. Fill in the blanks to describe a Type II error. A Type II error would be ▼(Choose one) the hypothesis that μ is ▼(Choose one) ▼(Choose one) when, in fact, μ is ▼(Choose one) .
BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 2800 hours. Suppose we have good reason to believe that μ is different from 2800 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2620 hours and that the sample standard deviation of the lifetimes is 650 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0: H1: (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ▼(Choose one) (c) Suppose the true mean lifetime of BIG's light bulbs is 2600 hours. Fill in the blanks to describe a Type II error. A Type II error would be ▼(Choose one) the hypothesis that μ is ▼(Choose one) ▼(Choose one) when, in fact, μ is ▼(Choose one) .
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 2800 hours. Suppose we have good reason to believe that μ is different from 2800 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2620 hours and that the sample standard deviation of the lifetimes is 650 hours.
Based on this information, complete the parts below.
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